So in thinking about influence I had a funny thought. Using the inquisitor's influence costs 2 subtlety. So first, can you do this when the inquisitor is a PC? Seems like it would be fine since the main downside of pissing off your boss is pretty much the same and likely even worse since he's right there if you screw up.
Second, presuming you can, it would supposedly still cost 2 subtlety so what happens when he uses it himself? After becoming an inquisitor PC does it cost 2 subtlety every time you use your own influence? That could be a pretty big, but funny, downside to the elite advance. Always have to send lesser known teammates, or at least teammates who's reputation isn't as directly tied to the Inquisition, to get things for you to avoid eroding your group's cover as quickly.